Arectangle has an area of 112cm. the length and width of the rectangle are changed by a scale factor of 1.5. what is the area of the new rectangle?

252 cm²

Step-by-step explanation:

Area of a rectangle is width times length:

A = WL

If the width and length increase by a factor of 1.5:

A = (1.5 W) (1.5 L)

A = 2.25 WL

So the area increases by a factor of 2.25.

2.25 × 112 cm² = 252 cm²

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

77

step-by-step explanation: